Simplify u^75/y^30

Answer 1

To simplify the expression u^75/y^30, we can rewrite it using the laws of exponents.

First, let's simplify the numerator. Since u^75 = (u^5)^15, we can rewrite u^75 as (u^5)^15.

Next, let's simplify the denominator. Since y^30 = (y^2)^15, we can rewrite y^30 as (y^2)^15.

Now, we can rewrite the whole expression as follows:

(u^5)^15 / (y^2)^15

Next, we can apply the power of a power rule, which states that (a^m)^n = a^(m*n):

u^(5*15) / y^(2*15)

Simplifying further, we have:

u^75 / y^30